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Finding the Fourth Proportional to 284.68, 392.85 and 160.33

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Solution

The fourth proportional to 284.68, 392.85 and 160.33 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.68 : 392.85 = 160.33 : x
  2. Step 2: Convert to fraction form
    284.68/392.85 = 160.33/x
  3. Step 3: Cross multiply
    284.68x = 392.85 × 160.33
  4. Step 4: Simplify right side
    284.68x = 62,985.39
  5. Step 5: Solve for x
    x = 62,985.39/284.68
  6. Step 6: Final answer
    x = 221.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.